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Quantum walks and Dirac cellular automata on a programmable trapped-ion quantum computer.

C Huerta Alderete1,2, Shivani Singh3,4, Nhung H Nguyen5

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This summary is machine-generated.

We demonstrate a quantum walk on a five-qubit trapped-ion processor, realizing a tunable Dirac cellular automaton. This circuit-based approach enables simulations of quantum systems and algorithms, including the Dirac equation.

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Area of Science:

  • Quantum Information Science
  • Quantum Computing
  • Quantum Simulation

Background:

  • Quantum walk (QW) is a powerful framework for quantum simulations and algorithms.
  • Applications include Dirac equation simulations and various quantum dynamics.
  • Developing efficient QW implementations is crucial for advancing quantum technologies.

Purpose of the Study:

  • To present a circuit-based implementation of a discrete-time quantum walk (DTQW) in position space.
  • To experimentally realize a Dirac cellular automaton with a tunable mass parameter using a trapped-ion quantum processor.
  • To demonstrate the scalability of the QW circuit and position state mapping for larger systems.

Main Methods:

  • Utilized a five-qubit trapped-ion quantum processor.
  • Encoded walker positions within multi-qubit states.
  • Programmed the system to operate with variable quantum walk parameters.

Main Results:

  • Successfully implemented a discrete-time quantum walk in position space.
  • Experimentally realized a Dirac cellular automaton with tunable mass.
  • Demonstrated favorable scaling of quantum walk circuits and position state mapping.

Conclusions:

  • The presented DTQW implementation is suitable for simulating quantum systems and algorithms.
  • The framework allows for the realization of discretized Dirac equation dynamics.
  • The approach is scalable to larger quantum processors and physical systems.